Question

The top band in the state charges C(x)=55x+15,000, where x is the total number of attendees at the concert. The venue charges $70 per ticket. After how many people buy tickets does the venue break even, and what is the value of the total tickets sold at that point?

Answer 1

The venue will break even after selling 1000 tickets.

The value will be $70,000 at that point.

Step-by-step explanation:

Given,

Charges of band;

C(x) = 55x+15000

Per ticket charges by Venue = $70

V(x) = 70x

For breaking even,

C(x) = V(x)

$55x+15000=70x\\15000=70x-55x\\15000=15x\\15x=15000$

Dividing both sides by 15

$\frac{15x}{15}=\frac{15000}{15}\\x=1000$

The venue will break even after selling 1000 tickets.

Putting 1000 in V(x)

$V(1000)=70(1000)\\V(1000)=70000$

The value will be $70,000 at that point.

Keywords: function, multiplication

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